10537380010638 has 24 divisors (see below), whose sum is σ = 24587220025368. Its totient is φ = 3242270772432.

The previous prime is 10537380010631. The next prime is 10537380010649. The reversal of 10537380010638 is 83601008373501.

10537380010638 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 3 + 8 + 0 + 0 + 1 + 0 + 638 = 666.

It is a super-2 number, since 2×10537380010638² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10537380010593 and 10537380010602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537380010631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22515769020 + ... + 22515769487.

It is an arithmetic number, because the mean of its divisors is an integer number (1024467501057).

Almost surely, 2^{10537380010638} is an apocalyptic number.

10537380010638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10537380010638 is an abundant number, since it is smaller than the sum of its proper divisors (14049840014730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10537380010638 is a wasteful number, since it uses less digits than its factorization.

10537380010638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45031538528 (or 45031538525 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10537380010638 in words is "ten trillion, five hundred thirty-seven billion, three hundred eighty million, ten thousand, six hundred thirty-eight".